x-1-3(-4x)=3x-41

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Solution for x-1-3(-4x)=3x-41 equation:


Simplifying
x + -1 + -3(-4x) = 3x + -41

Remove parenthesis around (-4x)
x + -1 + -3 * -4x = 3x + -41

Multiply -3 * -4
x + -1 + 12x = 3x + -41

Reorder the terms:
-1 + x + 12x = 3x + -41

Combine like terms: x + 12x = 13x
-1 + 13x = 3x + -41

Reorder the terms:
-1 + 13x = -41 + 3x

Solving
-1 + 13x = -41 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
-1 + 13x + -3x = -41 + 3x + -3x

Combine like terms: 13x + -3x = 10x
-1 + 10x = -41 + 3x + -3x

Combine like terms: 3x + -3x = 0
-1 + 10x = -41 + 0
-1 + 10x = -41

Add '1' to each side of the equation.
-1 + 1 + 10x = -41 + 1

Combine like terms: -1 + 1 = 0
0 + 10x = -41 + 1
10x = -41 + 1

Combine like terms: -41 + 1 = -40
10x = -40

Divide each side by '10'.
x = -4

Simplifying
x = -4

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